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Matlab 101

Matlab 101. For Beginners. Overview. The Matlab Environment Vectors Matrices Plotting and Graphics Statistics Basic Calculus. The Matlab Environment. Vectors. Inputting vectors: >> a = [4,5,7,8] %% a(2) = 5 Common operations Transpose of a >> a’ =

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Matlab 101

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  1. Matlab 101 For Beginners

  2. Overview • The Matlab Environment • Vectors • Matrices • Plotting and Graphics • Statistics • Basic Calculus

  3. The Matlab Environment

  4. Vectors • Inputting vectors: >> a = [4,5,7,8] %% a(2) = 5 • Common operations • Transpose of a >> a’ = • Adding components >> sum(a) = 24

  5. Vector Arithmetic • >> a = [5,0]; • >> b = [3,4]; • Find magnitude of a • >> X = a.*a • >> Y = sum(X) • >> mag = sqrt(Y) • Find angle between a and b using • a.b = |a||b|cos(Ө)

  6. Matrices • >> A = [1,-2,1; 3,4,5; -2,1,7] • A = • rank(A) • Inv(A) • Det(A)

  7. Matrix Arithmetic • Solve the linear system using matlab • X-2Y+Z=12; 3X+4Y+5Z=20; -2X+Y+7Z=11 • Ax=B: A = B = • >> C = inv(A) • >>x = C*B • X = A\B

  8. Plotting and Graphics • Plot the graph of cos(x) for 0<x<10 • x=[0:0.1:10]

  9. Plotting and Graphics • >> x = [0:0.1:10]; • >> y = cos(x); • >>plot(x,y),xlabel('x'),ylabel('cos(x)')

  10. Graph of cos(x) and sin(x)

  11. Table of colors

  12. Statistics • Differential Equations grades for Final Exam

  13. Statistics • X = [95, 90, 85, 80, 75, 70, 65, 60, 55, 50,0]; • Y = [1,2,1,6,4,7,2,1,3,2,4]; • bar(x,y)

  14. Intro to Programming

  15. bar3 function %%bar3(X,Y)

  16. Basic Calculus • Finding limits: find

  17. Basic Calculus • Draw and find

  18. Solving differential equations • Derivative of f >> diff(f) • nthderivative of f >> diff(f,n) • >> D2y +2*Dy=5*sin(7*x) • Solve the above equation with

  19. pretty function

  20. The End

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